Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 924, 855, 746, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 855, 746, 959 is 1
GCD(924, 855, 746, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 855, 746, 959 is 1
GCD(924, 855, 746, 959) = 1
Given Input numbers are 924, 855, 746, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 924, 855, 746, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 855, 746, 959 is 1.
Therefore, GCD of numbers 924, 855, 746, 959 is 1
Given Input Data is 924, 855, 746, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 746 is 2 x 373
Prime Factorization of 959 is 7 x 137
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(924, 855) = 263340
GCD(924, 855) = ( 924 x 855 ) / 263340
GCD(924, 855) = 790020 / 263340
GCD(924, 855) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
GCD(3, 746) = 2238 / 2238
GCD(3, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 924, 855, 746, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 855, 746, 959?
GCD of 924, 855, 746, 959 is 1
2. Where do I get the detailed procedure to find GCD of 924, 855, 746, 959?
You can find a detailed procedure to find GCD of 924, 855, 746, 959 on our page.
3. How to find GCD of 924, 855, 746, 959 on a calculator?
You can find the GCD of 924, 855, 746, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.